A NOTE ON THE LOCAL NILPOTENCE OF 4-ENGEL GROUPS

DOI10.1142/S021819670500244XzbMath1087.20030OpenAlexW2166541230MaRDI QIDQ5703674

Gunnar Traustason

Publication date: 8 November 2005

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021819670500244x

zbMATH Keywords

Engel conditionscommutator calculusgeneralizations of nilpotent groupsgeneralizations of solvable groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Generalizations of solvable and nilpotent groups (20F19) Nilpotent groups (20F18) Commutator calculus (20F12) Engel conditions (20F45)

Related Items (5)

The local nilpotence theorem for 4-Engel groups revisited ⋮ Groups that are Pairwise Nilpotent ⋮ Engel groups. III. ⋮ 4-ENGEL GROUPS ARE LOCALLY NILPOTENT ⋮ Left 3-Engel elements in groups of exponent 5.

Cites Work

• On \(4\)-Engel groups
• Engel-4 Groups of Exponent 5
• TWO GENERATOR 4-ENGEL GROUPS
• 4-ENGEL GROUPS ARE LOCALLY NILPOTENT

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